메뉴 건너뛰기




Volumn 82, Issue 2, 2010, Pages

Self-correcting quantum memory in a thermal environment

Author keywords

[No Author keywords available]

Indexed keywords

A-THERMAL; ANALYTICAL RESULTS; ERROR PROTECTION; FINITE TEMPERATURES; LARGE CLASS; LONG RANGE INTERACTIONS; NUMERICAL SIMULATION; QUANTUM INFORMATION SCIENCE; QUANTUM MEMORIES; SELF-CORRECTION; SPIN MODELS; SYSTEM SIZE; THERMAL FLUCTUATIONS; TIME DYNAMIC;

EID: 77955786934     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.022305     Document Type: Article
Times cited : (70)

References (59)
  • 2
    • 0037268624 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation by anyons
    • DOI 10.1016/S0003-4916(02)00018-0, PII S0003491602000180
    • A. Y. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 303, 2 (2003). (Pubitemid 36177417)
    • (2003) Annals of Physics , vol.303 , Issue.1 , pp. 2-30
    • Kitaev, A.Yu.1
  • 4
    • 30444456387 scopus 로고    scopus 로고
    • Anyons in an exactly solved model and beyond
    • DOI 10.1016/j.aop.2005.10.005, PII S0003491605002381
    • A. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2005.10.005 321, 2 (2006). (Pubitemid 43072824)
    • (2006) Annals of Physics , vol.321 , Issue.1 , pp. 2-111
    • Kitaev, A.1
  • 5
  • 7
    • 77955803095 scopus 로고    scopus 로고
    • I. S. Tupitsyn, A. Kitaev, N. V. Prokofev, and P. C. E. Stamp, e-print arXiv: 0804.3175
    • I. S. Tupitsyn, A. Kitaev, N. V. Prokofev, and P. C. E. Stamp, e-print arXiv: 0804.3175.
  • 8
    • 60449084477 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.033109
    • J. Vidal, S. Dusuel, and K. P. Schmidt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.033109 79, 033109 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 033109
    • Vidal, J.1    Dusuel, S.2    Schmidt, K.P.3
  • 9
  • 10
    • 40749089576 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.064302
    • Z. Nussinov and G. Ortiz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.064302 77, 064302 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 064302
    • Nussinov, Z.1    Ortiz, G.2
  • 11
    • 64549113026 scopus 로고    scopus 로고
    • JPHAC5 1751-8113 10.1088/1751-8113/42/6/065303
    • R. Alicki, M. Fannes, and M. Horodecki, J. Phys. A JPHAC5 1751-8113 10.1088/1751-8113/42/6/065303 42, 065303 (2009).
    • (2009) J. Phys. A , vol.42 , pp. 065303
    • Alicki, R.1    Fannes, M.2    Horodecki, M.3
  • 14
    • 77955825949 scopus 로고    scopus 로고
    • A. Kay and R. Colbeck (2008), e-print arXiv: 0810.3557
    • A. Kay and R. Colbeck (2008), e-print arXiv: 0810.3557.
  • 15
    • 66249087283 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/11/4/043029
    • S. Bravyi and B. Terhal, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/4/043029 11, 043029 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 043029
    • Bravyi, S.1    Terhal, B.2
  • 16
    • 70349538979 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.080501
    • F. Pastawski, A. Kay, N. Schuch, and I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.080501 103, 080501 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 080501
    • Pastawski, F.1    Kay, A.2    Schuch, N.3    Cirac, I.4
  • 18
    • 67650146235 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.245122
    • A. Hamma, C. Castelnovo, and C. Chamon, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.245122 79, 245122 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 245122
    • Hamma, A.1    Castelnovo, C.2    Chamon, C.3
  • 19
    • 77949537092 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/2/025013
    • S. Chesi, D. Loss, S. Bravyi, and B. M. Terhal, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/025013 12, 025013 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 025013
    • Chesi, S.1    Loss, D.2    Bravyi, S.3    Terhal, B.M.4
  • 20
    • 77955833200 scopus 로고    scopus 로고
    • Ph.D. thesis, California Institute of Technology
    • D. Gottesman, Ph.D. thesis, California Institute of Technology (1997), see also
    • (1997)
    • Gottesman, D.1
  • 21
    • 0000993854 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.57.127
    • D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.127 57, 127 (1998).
    • (1998) Phys. Rev. A , vol.57 , pp. 127
    • Gottesman, D.1
  • 22
    • 0000494981 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1665530
    • F. Wegner, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665530 12, 2259 (1971).
    • (1971) J. Math. Phys. , vol.12 , pp. 2259
    • Wegner, F.1
  • 23
    • 34247120112 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.51.659
    • J. B. Kogut, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.51.659 51, 659 (1979).
    • (1979) Rev. Mod. Phys. , vol.51 , pp. 659
    • Kogut, J.B.1
  • 24
    • 0037428558 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.016803
    • X-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.016803 90, 016803 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 016803
    • Wen, X.-G.1
  • 25
    • 62849094297 scopus 로고    scopus 로고
    • 0003-4916 10.1016/j.aop.2008.11.002
    • Z. Nussinov and G. Ortiz, Ann. Phys. (NY) 0003-4916 10.1016/j.aop.2008. 11.002 324, 977 (2009).
    • (2009) Ann. Phys. (NY) , vol.324 , pp. 977
    • Nussinov, Z.1    Ortiz, G.2
  • 26
    • 77955786083 scopus 로고    scopus 로고
    • σz errors are irrelevant for the dynamics of plaquettes
    • σ z errors are irrelevant for the dynamics of plaquettes.
  • 27
    • 0002335432 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01608389
    • E. B. Davies, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608389 39, 91 (1974).
    • (1974) Commun. Math. Phys. , vol.39 , pp. 91
    • Davies, E.B.1
  • 30
    • 3442895020 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.016601
    • V. N. Golovach, A. Khaetskii, and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.016601 93, 016601 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 016601
    • Golovach, V.N.1    Khaetskii, A.2    Loss, D.3
  • 31
    • 77249137177 scopus 로고    scopus 로고
    • PRLTAO 1867-2949 10.1007/s12532-009-0002-8
    • V. Kolmogorov, Math. Prog. Comp. PRLTAO 1867-2949 10.1007/s12532-009- 0002-8 1, 43 (2009).
    • (2009) Math. Prog. Comp. , vol.1 , pp. 43
    • Kolmogorov, V.1
  • 33
    • 77955793876 scopus 로고    scopus 로고
    • We have used the code triangle [33]. See also Ref. [30] and references therein for a justification of this approximation
    • We have used the code triangle [33]. See also Ref. [30] and references therein for a justification of this approximation.
  • 37
    • 77955816811 scopus 로고    scopus 로고
    • Note that in Eq. (15), we have approximated the number of spins without errors by the total number 2L2, neglecting corrections of order lnL
    • Note that in Eq. (15), we have approximated the number of spins without errors by the total number 2 L 2, neglecting corrections of order ln L.
  • 38
    • 33750165209 scopus 로고    scopus 로고
    • The complexity of the local hamiltonian problem
    • DOI 10.1137/S0097539704445226
    • J. Kempe, A. Kitaev, and O. Regev, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539704445226 35, 1070 (2006). (Pubitemid 44599919)
    • (2006) SIAM Journal on Computing , vol.35 , Issue.5 , pp. 1070-1097
    • Kempe, J.1    Kitaev, A.2    Regev, O.3
  • 40
    • 55549117459 scopus 로고    scopus 로고
    • ZZZZZZ 1745-2473 10.1038/nphys1124
    • M. M. Wolf, Nat. Phys. ZZZZZZ 1745-2473 10.1038/nphys1124 4, 834 (2008).
    • (2008) Nat. Phys. , vol.4 , pp. 834
    • Wolf, M.M.1
  • 41
    • 45749104091 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.77.062329
    • S. P. Jordan and E. Farhi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.062329 77, 062329 (2008).
    • (2008) Phys. Rev. A , vol.77 , pp. 062329
    • Jordan, S.P.1    Farhi, E.2
  • 42
    • 38949120329 scopus 로고    scopus 로고
    • Emergent fermions and anyons in the Kitaev model
    • DOI 10.1103/PhysRevLett.100.057208
    • K. P. Schmidt, S. Dusuel, and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.057208 100, 057208 (2008). (Pubitemid 351230713)
    • (2008) Physical Review Letters , vol.100 , Issue.5 , pp. 057208
    • Schmidt, K.P.1    Dusuel, S.2    Vidal, J.3
  • 44
    • 34147154732 scopus 로고    scopus 로고
    • Nuclear spin ferromagnetic phase transition in an interacting two dimensional electron gas
    • DOI 10.1103/PhysRevLett.98.156401
    • P. Simon and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.156401 98, 156401 (2007). (Pubitemid 46559739)
    • (2007) Physical Review Letters , vol.98 , Issue.15 , pp. 156401
    • Simon, P.1    Loss, D.2
  • 45
    • 34547196138 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.93.99
    • R. H. Dicke, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.99 93, 99 (1954).
    • (1954) Phys. Rev. , vol.93 , pp. 99
    • Dicke, R.H.1
  • 50
    • 40749147684 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.77.045434
    • M. Trif, V. N. Golovach, and D. Loss, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.045434 77, 045434 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 045434
    • Trif, M.1    Golovach, V.N.2    Loss, D.3
  • 53
  • 54
    • 77955790404 scopus 로고    scopus 로고
    • M. Trif, F. Troiani, D. Stepanenko, and D. Loss, e-print arXiv: 1001.3584
    • M. Trif, F. Troiani, D. Stepanenko, and D. Loss, e-print arXiv: 1001.3584.
  • 55
    • 77955833564 scopus 로고    scopus 로고
    • As a simple example, we note that, since the gap of the star anyons is also given by Eq. (18), an additional term Σsgsns(a1†a2+a2† a1) appears in Eq. (17), which generates repulsive star-star as well as star-plaquette interactions
    • As a simple example, we note that, since the gap of the star anyons is also given by Eq. (18), an additional term Σ s g s n s (a1 † a2 + a2 † a1) appears in Eq. (17), which generates repulsive star-star as well as star-plaquette interactions.
  • 57
    • 77955821508 scopus 로고    scopus 로고
    • S. B. Bravyi and A. Y. Kitaev, e-print arXiv: quant-ph/9811052
    • S. B. Bravyi and A. Y. Kitaev, e-print arXiv: quant-ph/9811052.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.